A3.1. Given a function (g(x)=\begin{cases} \dfrac{3x^2+4x-4}{3x-2}, { x \neq \dfrac{2} {3} \\ \\ \dfrac{8}{3}, & x...
3x +5 8. Find the inverse of the function g(r)- 4 -1 a.3 g" (x)=4x+5 4 b. g()-3x5 4x-5 -1 (x)= 4 d, g-i(x) = 3x +5
determine the value of k such that g(x)=3x+k intersects the quadratic function f(x)=2x^2-5x+3 at exactly one pointdetermine the value(s) of k such that the linear function g(x)=4x+k does not intersect the parabola f(x)=-3x^2-x+4
4. Simplify and state the restrictions. 2x+8 4x+16 a) 3x 6x2–5x+1 b) x2-4 Х x2-x-2 x2-3x 2x2 4 1 c) x2+3x+2 + 1 x2+4x+3 11x d)- x2+3x-28 X-4
(1 point) Are the functions f, g, and h given below linearly independent? f(x) = €3x – cos(4x), g(x) = 23x + cos(4x), h(x) = cos(4x). If they are independent, enter all zeroes. If they are not linearly independent, find a nontrivial solution to the equation below. Be sure you can justify your answer. (e3x – cos(4x)) + (83x + cos(4x)) + (cos(4x)) = 0.
Consider the following. g(x) = 3x(x2 - 4x – 2) (a) Find all real zeros of the polynomial function. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) 0, x= 2 +V6 , x = 2 – V6 x X = (b) Determine whether the multiplicity of each zero is even or odd. smallest x-value even multiplicity even multiplicity largest x-value even multiplicity (c) Determine the maximum possible number of turning points of the...
Question 8 3 pts Given h (32) = (x - 1)2 and g(x) = 3x + 5, find (h+g) (-2). Leave and exact answer.
For the given functions f and g, find the requested composite function value. f(x) = 4x+8, g(x) = -2/x; Find (g of)(3). 16 A. 3 B. 40 3 58 Oc. 3 OD 1 10
Given the functions: 1 g)-+2 fx)= 4x h(x)= x-6 Evaluate the function (g-h)(5) for the given value of x. Write your answer as an integer or simplified fraction. Select "Undefine if applicable. g-h)(5) is Undefined X Submit
please show steps cleary 7. Solve the following equations for x: b)3(2x-5)-(2-3x)--2+4x 9 15 5 c)H x-μ e) x3+8x2+15x-0 1 (4x-5)2-5-20 (use the square-root method) g) Solve using the quadratic formula: 3x2+2x -8-0. Show your steps clearly. x+4x-8-0. Show your steps clearly h) Solve by completing the Square: 8. Determine an equation for the line a) with slope of 5/3 and y-intercept of 5: b) with slope 7/6 and passing through the point (6.2) parallel to the line in #...
Question 8 Given the function below, evaluate (1) f(x) = - 3 - 4. 3x + 5